We will put our methods of computing volume to use to find the volume of a football. 1) For our first attempt, rotate the ellipse + 1 about the r-axis to find a general %3D formula. 2) Now try rotating around the y-axis.

Q: A square pyramid has base edges that each measure 6 m, a slant height that measures 5 m, and an…

A:

Q: The base of a solid is the circle x² + y² = 16. Find its volume if every section perpendicular to…

A: Given that base of a solid is in the form of a circle whose equation is given as x2+y2=16 Also,…

Q: The chord of a parabolic arch is 10 cm and is 12 cm from the vertex. Calculate the perimeter of the…

A: The formula for perimeter of parabola is P=12b2+16a2+b28aln4a+b2+16a2b, where a is the distance of…

Q: A radio telescope has a parabolic surface. If it is 9 m deep and 12 m wide, how far is the focus…

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Q: A satellite dish is in the shape of a parabolic surface has a diameter of 20 feet. If the receiver…

A:

Q: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

A: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

Q: The area of an ellipse is 301.593 and its perimeter is 64.076. Compute the length of the latus…

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Q: A cooling tower, such as the one shown in the figure, is a hyperbolic structure. Suppose its base…

A: Let the tower be a hyperbola centered at the origin as shown in the figure. Since the lowest…

Q: Rotate the ellipse =1 around the x -axis to approximate the volume of a football, as seen here.

A: To determine the volume of  that rotated about the x-axis. Given, The given curve is ellipse.…

Q: The base of a solid is an ellipse whose major axis and minor axis are 12 cm and 8 cm long,…

A:

Q: A square pyramid has base edges that measure 6 m, a slant height that measures 5 m, and an altitude…

A: The solution is given below:

Q: Given an ellipse whose semi-major axis is 6 cm and semi-minor axis is 3 cm. What is the volume…

A: Explained below

Q: What is the shape of the vertical cross section of this solid figure that does not pass through the…

A:

Q: find the exact perimeter of the ellipse x2/a2 + y2/b2 = 1. (No approximations) please show all the…

A: Consider the provided question,

Q: 2. The base of a solid is an ellipse whose major axus and minor axis are 12 cm and 8 cm long,…

A: We need to find volume.

Q: A searchlight is shaped like a paraboloid of revolution. If the light source located 4 feet from the…

A: Consider the following figure:

Q: 2. A trucking company needs to determine whether a house trailer will fit that has an opening shaped…

A: In this question we will use basic of calculus i.e concept of parabolic curve. We will first find…

Q: What is the shape of the vertical cross section of this solid figure that does not pass through the…

A: 2)circle

Q: A mirror is shaped like a paraboloid of revolution and will be used to concentrate the rays of the…

A: It is given that The cross-section is a parabola. Let the vertex of the parabola be at the origin of…

Q: A regular hexagonal pyramid whose base perimeter is 60 cm has an altitude of 30 cm, the volume of…

A:

Q: What is the storage capacity(volume) of its interior?

A: A pentagonal prism has five rectangular faces and two parallel pentagonal bases. Take 'b' is the…

Q: A satillite dish in the shape of parabolic surface has a diameter of 20 feet. If the receiver is to…

A: A parabolic surface is generally used to capture energy, like light, signals etc.  For such…

Q: What is shape of the horizontal cross-section of this TRIANGULAR PYRAMID? *

A: Given figure is a triangular pyramid therefore the horizontal cross - section is a triangle.

Q: By integration, show that : 8. The area of an ellipse with semi axes a and b is A = nab.

A: Integration of function expression with respect to x or y gives the area under function curve and…

Q: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

A: Given a cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of…

Q: A searchlight is shaped like a paraboloid of revolution.If the light source is located 2 feet from…

A: draw the parabola used to form the searchlight on a rectangular coordinate system so that the vertex…

Q: A geometry student wants to draw a rectangle inscribed in the ellipse x2+4y2=49. What is the area of…

A: For maximization, equate the derivative of the function to 0 to get the critical points.Then check…

Q: The army squad tent shown in the figure has a roof with trape- zoidal sides whose bases form a rec-…

A: The army squad tent shown in the figure has a roof with trape- zoidal sides whose bases form a rec-…

Q: Find the dimensions of a rectangular prism whose volume is (x4 ‒  y4) units3.

A: Given that,                volume, v =  (x4 ‒  y4) units3

Q: 4 Find the surface area of the square pyramid (above) using its net (below). 4

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Q: The two figures are similar and regular solids. Find their mass if the sum of their mass is 140g. e1…

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Q: A storage shed is in the shape of a pentagonal prism. The front represents one of its two pentagonal…

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Q: 4. Find the area of the largest isosceles triangle that can be inscribed in the ellipse y2 = l. a2…

A: To find the area of the largest isosceles triangle.

Q: A regular hexagonal pyramid whose base perimeter is 1 cm has an altitude of 2cm. The volume of the…

A:

Q: The area of an ellipse with axes of length 2a and 2b is A-πab. Approximate the percent change in the…

A: It is given that, the area of the ellipse with axes length 2a and 2b is

Q: 8. If the volume of the cuboid 350 cubic cm, fength = 10 cm ànd breadth = 5 cm. Then %3D %3D find…

A: We have to find the height of the cuboid where the volume, length and breadth are given.

Q: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

A: Given: A search light is shaped like a paraboloid of revolution. If the light source is located 4…

Q: find the surface area of a regular hexagonal pyramid whose height is four times longer than the…

A:

Q: For Exercise, determine whether the transverse axis and foci of the hyperbola are on the x-axis or…

A: The general equation of the horizontal transverse axis hyperbola is given by,

Q: A storage hopper is in the shape of a frustum of a pyramid. Determine its volume if the ends of the…

A: A storage hopper is in the shape of a frustum of a pyramid. Determine its volume if the ends of the…

Q: Find the volumes of the solids generated if the upper half of the ellipse 9x2 + 25y2 = 225 is…

A:

Q: Find the volume of the solid formed if we rotate the ellipse+ = 1 about the line 4x + 3y = 20.

A: Calculation of Volume.

Q: A mirror for a reflecting telescope has the shape of a (finite) paraboloid of diameter 8 inches and…

A: It is given that, A mirror for a reflecting telescope has the shape of a (finite) paraboloid of…

Q: A parabolic shaped radio transmitter has a diameter of 21 inches. If the signal-emitter (focus) is…

A: Given  Diameter of parabolic shaped radio transmitter = 21 inch  focus = 18 inch

Q: The street department's storage building, which is used to store the rock, gravel, and salt used on…

A: The Volume of the regular hexagonal pyramid with altitude h and side length a is define as…

Q: The model of a pyramid has a hexagonal base with sides of 8 inches and a height of 15 inches.…

A: Given that the sides of a hexagonal pyramid is  a = 8 inches Height of the prism h = 15 inches

Q: Find the dimensions of the rectangle of largest perimeter that can be inscribed in the ellipse x2/a2…

A: Let 2x,2y be the length and width of the ellipse that is inscribed in ellipse  Then , perimeter of…

Q: A window is constructed with the top half of an ellipse on top of a square. The square portion of…

A: The base of the window is 44 in The height of window is 60 in From the center at base is 15 inches…

Q: The diagram below shows a right square pyramid with a base that is 6 centimeters (cm) on each side.…

A: Volume of pyramid

Q: The end of a tough is an isosceles trapezoid of bases 24 inches and 36 inches, and non-parallel…

A: Given that: Bases of the isosceles trapezoid is 24 and 36 inches. Non parallel sides = 18 in, Length…